UNSPECIFIED. (2000) Transfer operators for coupled analytic maps. ERGODIC THEORY AND DYNAMICAL SYSTEMS, 20 (Part 1). pp. 109-143. ISSN 0143-3857

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Abstract

We consider analytically coupled circle maps (uniformly expanding and analytic) on the Z(d)-lattice with exponentially decaying interaction. We introduce Banach spaces for the infinite-dimensional system that include measures whose finite-dimensional marginals have analytic, exponentially bounded densities. Using residue calculus and 'cluster expansion'-like techniques we define transfer operators on these Banach spaces. We get a unique (in the considered Banach spaces) probability measure that exhibits exponential decay of correlations.

Item Type:	Journal Article
Subjects:	Q Science > QA Mathematics
Journal or Publication Title:	ERGODIC THEORY AND DYNAMICAL SYSTEMS
Publisher:	CAMBRIDGE UNIV PRESS
ISSN:	0143-3857
Date:	February 2000
Volume:	20
Number:	Part 1
Number of Pages:	35
Page Range:	pp. 109-143
Publication Status:	Published
URI:	http://wrap.warwick.ac.uk/id/eprint/13523

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